If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. How long is a side of the original square?

Mathematics

2 answers:

Bogdan [553]3 years ago

5 0

Square root of 121 is 11.
11-7=4
A side of the original square is 4 feet.

patriot [66]3 years ago

5 0

Answer: The side of the original square is 4 feet.

Step-by-step explanation:

Given , the sides of the original square is lengthened by 7 feet.

The area of the new square = 121 square feet.

Let the original side of square be 'x'.

The new side = x+7

Area of new square =(side)² = (x+7)²

As per given , we have

$(x+7)^2=121$

$\Rightarrow\ (x+7)^2=11^2\ \ \ [\because\ 11^2=121]$

Taking square roots on both sides , we get

$x+7=11\\\\\Rightarrow\ x=11-7=4$

Hence, the side of the original square is 4 feet.

You might be interested in

What is the Pythagorean Theorem? Please describe it in detaill!!

Anastaziya [24]

Answer:

Answer is below

Step-by-step explanation:

The Pythagorean Theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. This only works on right triangles. The equation for this is $a^{2} +b^{2} = c^{2}$ . A and B are the shorter side lengths, while C is the hypotenuse. Taking the squares of the two shorter sides will equal the square of the hypotenuse.